It sounds like you want to do a little pitch bend to nudge the track which you would do using the clear outer jog wheel instead of using the Tempo Fader.
Also, the hardware Tempo fader is not going to match the software Tempo fader in most cases due to the default Relative Tempo command. The tempo should not jump any more than about .16 bpm though unless you have not yet reset either of the Tempo faders in your setup process (by pressing Shift+Tempo fader middle so Relative Tempo Range becomes +8/-8 instead of 0-16%)
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